{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,30]],"date-time":"2026-03-30T17:50:22Z","timestamp":1774893022545,"version":"3.50.1"},"reference-count":38,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2022,6,2]],"date-time":"2022-06-02T00:00:00Z","timestamp":1654128000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2022,6,2]],"date-time":"2022-06-02T00:00:00Z","timestamp":1654128000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100004586","name":"Funda\u00e7\u00e3o Carlos Chagas Filho de Amparo \u00e0 Pesquisa do Estado do Rio de Janeiro","doi-asserted-by":"publisher","award":["E-26\/203.046\/2017"],"award-info":[{"award-number":["E-26\/203.046\/2017"]}],"id":[{"id":"10.13039\/501100004586","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003593","name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","doi-asserted-by":"publisher","award":["310.201\/2019-5"],"award-info":[{"award-number":["310.201\/2019-5"]}],"id":[{"id":"10.13039\/501100003593","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003593","name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","doi-asserted-by":"publisher","award":["465.560\/2014-8"],"award-info":[{"award-number":["465.560\/2014-8"]}],"id":[{"id":"10.13039\/501100003593","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002322","name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","doi-asserted-by":"publisher","award":["3038.008418\/2019-51"],"award-info":[{"award-number":["3038.008418\/2019-51"]}],"id":[{"id":"10.13039\/501100002322","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003593","name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","doi-asserted-by":"publisher","award":["141761\/2016-4"],"award-info":[{"award-number":["141761\/2016-4"]}],"id":[{"id":"10.13039\/501100003593","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004586","name":"Funda\u00e7\u00e3o Carlos Chagas Filho de Amparo \u00e0 Pesquisa do Estado do Rio de Janeiro","doi-asserted-by":"publisher","award":["200.541\/2018"],"award-info":[{"award-number":["200.541\/2018"]}],"id":[{"id":"10.13039\/501100004586","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["World Wide Web"],"published-print":{"date-parts":[[2022,11]]},"DOI":"10.1007\/s11280-021-00998-w","type":"journal-article","created":{"date-parts":[[2022,6,2]],"date-time":"2022-06-02T09:02:54Z","timestamp":1654160574000},"page":"2535-2560","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Efficient information diffusion in time-varying graphs through deep reinforcement learning"],"prefix":"10.1007","volume":"25","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5541-7207","authenticated-orcid":false,"given":"Matheus R. F.","family":"Mendon\u00e7a","sequence":"first","affiliation":[]},{"given":"Andr\u00e9 M. S.","family":"Barreto","sequence":"additional","affiliation":[]},{"given":"Artur","family":"Ziviani","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,6,2]]},"reference":[{"key":"998_CR1","doi-asserted-by":"crossref","unstructured":"Bao, Y, Wang, X, Wang, Z, Wu, C, Lau, FCM: Online influence maximization in non-stationary social networks. In: 2016 IEEE\/ACM 24th international symposium on quality of service (IWQoS), pp 1\u20136 (2016)","DOI":"10.1109\/IWQoS.2016.7590438"},{"issue":"5439","key":"998_CR2","doi-asserted-by":"publisher","first-page":"509","DOI":"10.1126\/science.286.5439.509","volume":"286","author":"AL Barab\u00e1si","year":"1999","unstructured":"Barab\u00e1si, AL, Albert, R: Emergence of scaling in random networks. Science 286(5439), 509\u2013512 (1999)","journal-title":"Science"},{"key":"998_CR3","unstructured":"Bellemare, MG, Dabney, W, Munos, R: A distributional perspective on reinforcement learning. In: Proceedings of the international conference on machine learning, ICML \u201917, pp 449\u2013458 (2017)"},{"key":"998_CR4","doi-asserted-by":"publisher","first-page":"41","DOI":"10.1016\/j.chaos.2018.03.014","volume":"110","author":"K Berahmand","year":"2018","unstructured":"Berahmand, K, Bouyer, A, Samadi, N: A new centrality measure based on the negative and positive effects of clustering coefficient for identifying influential spreaders in complex networks. Chaos, Solitons & Fractals 110, 41\u201354 (2018)","journal-title":"Chaos, Solitons & Fractals"},{"key":"998_CR5","doi-asserted-by":"crossref","unstructured":"Borgs, C, Brautbar, M, Chayes, J, Lucier, B: Maximizing social influence in nearly optimal time. In: Proceedings of the twenty-fifth annual ACM-SIAM symposium on Discrete algorithms. SIAM, pp 946\u2013957 (2014)","DOI":"10.1137\/1.9781611973402.70"},{"issue":"5","key":"998_CR6","doi-asserted-by":"publisher","first-page":"387","DOI":"10.1080\/17445760.2012.668546","volume":"27","author":"A Casteigts","year":"2012","unstructured":"Casteigts, A, Flocchini, P, Quattrociocchi, W, Santoro, N: Time-varying graphs and dynamic networks. Int J Parallel Emergent Distrib Syst 27(5), 387\u2013408 (2012)","journal-title":"Int J Parallel Emergent Distrib Syst"},{"issue":"7","key":"998_CR7","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1371\/journal.pone.0011596","volume":"5","author":"C Cattuto","year":"2010","unstructured":"Cattuto, C, Van den Broeck, W, Barrat, A, Colizza, V, Pinton, JF, Vespignani, A: Dynamics of person-to-person interactions from distributed rfid sensor networks. PLOS ONE 5(7), 1\u20139 (2010)","journal-title":"PLOS ONE"},{"issue":"4","key":"998_CR8","doi-asserted-by":"publisher","first-page":"1777","DOI":"10.1016\/j.physa.2011.09.017","volume":"391","author":"D Chen","year":"2012","unstructured":"Chen, D, L\u00fc, L, Shang, MS, Zhang, Y, Zhou, T: Identifying influential nodes in complex networks. Physica A: Stat Mech Applic 391 (4), 1777\u20131787 (2012)","journal-title":"Physica A: Stat Mech Applic"},{"key":"998_CR9","doi-asserted-by":"crossref","unstructured":"Chen, W, Wang, Y, Yang, S: Efficient influence maximization in social networks. In: International conference on knowledge discovery and data mining, KDD \u201909. ACM, pp 199\u2013208 (2009)","DOI":"10.1145\/1557019.1557047"},{"key":"998_CR10","doi-asserted-by":"crossref","unstructured":"Chiu, SI, Hsu, KW: Information diffusion on facebook: a case study of the sunflower student movement in taiwan. In: International conference on ubiquitous information management and communication, IMCOM \u201917. ACM, New York (2017)","DOI":"10.1145\/3022227.3022274"},{"key":"998_CR11","doi-asserted-by":"crossref","unstructured":"Costa, EC, Vieira, AB, Wehmuth, K, Ziviani, A, Da Silva, APC: Time centrality in dynamic complex networks. Advances in Complex Systems 18(07n08) (2015)","DOI":"10.1142\/S021952591550023X"},{"key":"998_CR12","unstructured":"Dai, H, Dai, B, Song, L: Discriminative embeddings of latent variable models for structured data. In: International conference on machine learning, ICML\u201916, pp 2702\u20132711 (2016)"},{"key":"998_CR13","doi-asserted-by":"publisher","first-page":"369","DOI":"10.1016\/j.ins.2019.11.029","volume":"514","author":"R de Souza","year":"2020","unstructured":"de Souza, R, Figueiredo, D, de Rocha, AA, Ziviani, A: Efficient network seeding under variable node cost and limited budget for social networks. Inform Sci 514, 369\u2013384 (2020)","journal-title":"Inform Sci"},{"issue":"3","key":"998_CR14","doi-asserted-by":"publisher","first-page":"211","DOI":"10.1023\/A:1011122126881","volume":"12","author":"J Goldenberg","year":"2001","unstructured":"Goldenberg, J, Libai, B, Muller, E: Talk of the network: a complex systems look at the underlying process of word-of-mouth. Market Lett 12(3), 211\u2013223 (2001)","journal-title":"Market Lett"},{"issue":"8","key":"998_CR15","doi-asserted-by":"publisher","first-page":"1735","DOI":"10.1162\/neco.1997.9.8.1735","volume":"9","author":"S Hochreiter","year":"1997","unstructured":"Hochreiter, S, Schmidhuber, J: Long short-term memory. Neur Comput 9(8), 1735\u20131780 (1997)","journal-title":"Neur Comput"},{"issue":"8","key":"998_CR16","doi-asserted-by":"publisher","first-page":"e12200","DOI":"10.1371\/journal.pone.0012200","volume":"5","author":"KE Joyce","year":"2010","unstructured":"Joyce, KE, Laurienti, PJ, Burdette, JH, Hayasaka, S: A new measure of centrality for brain networks. PloS ONE 5(8), e12200 (2010)","journal-title":"PloS ONE"},{"key":"998_CR17","unstructured":"Kamarthi, H, Vijayan, P, Wilder, B, Ravindran, B, Tambe, M: Influence maximization in unknown social networks: learning policies for effective graph sampling, p 575\u2013583. International Foundation for Autonomous Agents and Multiagent Systems. Richland. SC (2020)"},{"key":"998_CR18","doi-asserted-by":"crossref","unstructured":"Kempe, D, Kleinberg, J, Tardos, E: Maximizing the spread of influence through a social network. In: ACM SIGKDD International conference on knowledge discovery and data mining, KDD \u201903. ACM, pp 137\u2013146 (2003)","DOI":"10.1145\/956750.956769"},{"key":"998_CR19","doi-asserted-by":"crossref","unstructured":"Kempe, D, Kleinberg, J, Tardos, \u00c9: Programming Influential nodes in a diffusion model for social networks. In: Caires, L, Italiano, GF, Monteiro, L, Palamidessi, C, Yung, M (eds.) Languages automata, pp 1127\u20131138. Springer, Berlin (2005)","DOI":"10.1007\/11523468_91"},{"key":"998_CR20","unstructured":"Khalil, E, Dai, H, Zhang, Y, Dilkina, B, Song, L: Learning combinatorial optimization algorithms over graphs. In: Advances in neural information processing systems 30 (NIPS), pp 6348\u20136358. Curran Associates Inc (2017)"},{"key":"998_CR21","doi-asserted-by":"crossref","unstructured":"Kim, H, Yoneki, E: Influential neighbours selection for information diffusion in online social networks. In: International conference on computer communications and networks (ICCCN), pp 1\u20137 (2012)","DOI":"10.1109\/ICCCN.2012.6289230"},{"key":"998_CR22","unstructured":"Kipf, TN, Welling, M: Semi-supervised classification with graph convolutional networks. In: International conference on learning representations (ICLR) (2017)"},{"issue":"11","key":"998_CR23","doi-asserted-by":"publisher","first-page":"888","DOI":"10.1038\/nphys1746","volume":"6","author":"M Kitsak","year":"2010","unstructured":"Kitsak, M, Gallos, LK, Havlin, S, Liljeros, F, Muchnik, L, Stanley, HE, Makse, HA: Identification of influential spreaders in complex networks. Nat Phys 6(11), 888\u2013893 (2010)","journal-title":"Nat Phys"},{"issue":"1","key":"998_CR24","doi-asserted-by":"publisher","first-page":"2","DOI":"10.1145\/1217299.1217301","volume":"1","author":"J Leskovec","year":"2007","unstructured":"Leskovec, J, Kleinberg, J, Faloutsos, C: Graph evolution: densification and shrinking diameters. ACM Trans Knowl Discov Data 1(1), 2\u2013es (2007)","journal-title":"ACM Trans Knowl Discov Data"},{"key":"998_CR25","doi-asserted-by":"publisher","first-page":"209","DOI":"10.1016\/j.physa.2016.02.049","volume":"452","author":"J Liu","year":"2016","unstructured":"Liu, J, Xiong, Q, Shi, W, Shi, X, Wang, K: Evaluating the importance of nodes in complex networks. Physica A: Stat Mech Applic 452, 209\u2013219 (2016)","journal-title":"Physica A: Stat Mech Applic"},{"key":"998_CR26","doi-asserted-by":"publisher","first-page":"44","DOI":"10.1016\/j.physa.2016.02.046","volume":"453","author":"N Liu","year":"2016","unstructured":"Liu, N, An, H, Gao, X, Li, H, Hao, X: Breaking news dissemination in the media via propagation behavior based on complex network theory. Physica A: Stat Mech Applic 453, 44\u201354 (2016)","journal-title":"Physica A: Stat Mech Applic"},{"key":"998_CR27","doi-asserted-by":"crossref","unstructured":"Magnien, C, Tarissan, F: Time evolution of the importance of nodes in dynamic networks. In: International conference on advances in social networks analysis and mining, pp 1200\u20131207 (2015)","DOI":"10.1145\/2808797.2809322"},{"issue":"1","key":"998_CR28","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1038\/s41598-018-20908-x","volume":"8","author":"M Nadini","year":"2018","unstructured":"Nadini, M, Sun, K, Ubaldi, E, Starnini, M, Rizzo, A, Perra, N: Epidemic spreading in modular time-varying networks. Sci Rep 8(1), 1\u201311 (2018)","journal-title":"Sci Rep"},{"issue":"12","key":"998_CR29","doi-asserted-by":"publisher","first-page":"1077","DOI":"10.14778\/2994509.2994525","volume":"9","author":"N Ohsaka","year":"2016","unstructured":"Ohsaka, N, Akiba, T, Yoshida, Y, Kawarabayashi, Ki: Dynamic influence analysis in evolving networks. Proc VLDB Endow 9(12), 1077\u20131088 (2016)","journal-title":"Proc VLDB Endow"},{"key":"998_CR30","doi-asserted-by":"crossref","unstructured":"Ohsaka, N, Yamaguchi, Y, Kakimura, N, Kawarabayashi, KI: Maximizing time-decaying influence in social networks. In: Joint European conference on machine learning and knowledge discovery in databases. Springer, pp 132\u2013147 (2016)","DOI":"10.1007\/978-3-319-46128-1_9"},{"key":"998_CR31","doi-asserted-by":"crossref","unstructured":"Qiu, J, Tang, J, Ma, H, Dong, Y, Wang, K, Tang, J: Deepinf: social influence prediction with deep learning. In: Proceedings of the 24th ACM SIGKDD international conference on knowledge discovery and data mining. ACM, p 2110\u20132119 (2018)","DOI":"10.1145\/3219819.3220077"},{"issue":"1","key":"998_CR32","doi-asserted-by":"publisher","first-page":"112","DOI":"10.1109\/TNET.2016.2563397","volume":"25","author":"G Tong","year":"2017","unstructured":"Tong, G, Wu, W, Tang, S, Du, D: Adaptive influence maximization in dynamic social networks. IEEE\/ACM Trans Network 25(1), 112\u2013125 (2017)","journal-title":"IEEE\/ACM Trans Network"},{"key":"998_CR33","doi-asserted-by":"crossref","unstructured":"Wang, Z, Pei, X, Wang, Y, Yao, Y: Ranking the key nodes with temporal degree deviation centrality on complex networks. In: Chinese control and decision conference (CCDC), pp 1484\u20131489 (2017)","DOI":"10.1109\/CCDC.2017.7978752"},{"key":"998_CR34","doi-asserted-by":"crossref","unstructured":"Wehmuth, K, Fleury, \u00c9, Ziviani, A: Multiaspect graphs: algebraic representation and algorithms. Algorithms 10(1) (2017)","DOI":"10.3390\/a10010001"},{"issue":"13","key":"998_CR35","doi-asserted-by":"publisher","first-page":"2536","DOI":"10.1016\/j.comnet.2013.05.001","volume":"57","author":"K Wehmuth","year":"2013","unstructured":"Wehmuth, K, Ziviani, A: DACCER: distributed assessment of the closeness centrality ranking in complex networks. Comput Netw 57(13), 2536\u20132548 (2013)","journal-title":"Comput Netw"},{"key":"998_CR36","doi-asserted-by":"crossref","unstructured":"Wu, X, Fu, L, Zhang, Z, Long, H, Meng, J, Wang, X, Chen, G: Evolving influence maximization in evolving networks. ACM Trans Internet Technol 20(4) (2020)","DOI":"10.1145\/3409370"},{"key":"998_CR37","unstructured":"Ying, R, You, J, Morris, C, Ren, X, Hamilton, WL, Leskovec, J: Hierarchical graph representation learning with differentiable pooling. In: Proceedings of the 32nd international conference on neural information processing systems, NIPS\u201918, pp 4805\u20134815. Curran Associates Inc., Red Hook (2018)"},{"key":"998_CR38","doi-asserted-by":"publisher","first-page":"71","DOI":"10.1016\/j.datak.2019.05.001","volume":"121","author":"B Zhang","year":"2019","unstructured":"Zhang, B, Zhang, L, Mu, C, Zhao, Q, Song, Q, Hong, X: A most influential node group discovery method for influence maximization in social networks: a trust-based perspective. Data & Knowl Eng 121, 71\u201387 (2019)","journal-title":"Data & Knowl Eng"}],"container-title":["World Wide Web"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11280-021-00998-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11280-021-00998-w\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11280-021-00998-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,11,4]],"date-time":"2022-11-04T19:43:17Z","timestamp":1667590997000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11280-021-00998-w"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,6,2]]},"references-count":38,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2022,11]]}},"alternative-id":["998"],"URL":"https:\/\/doi.org\/10.1007\/s11280-021-00998-w","relation":{},"ISSN":["1386-145X","1573-1413"],"issn-type":[{"value":"1386-145X","type":"print"},{"value":"1573-1413","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,6,2]]},"assertion":[{"value":"2 March 2021","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"16 August 2021","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"22 December 2021","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"2 June 2022","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}